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Finding the Third Proportional to 1,512,634,394 and 3,290,298,196

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Solution

The third proportional to 1,512,634,394 and 3,290,298,196 is: 7,157,091,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,634,394 : 3,290,298,196 = 3,290,298,196 : x
  2. Step 2: Convert to fraction form
    1,512,634,394/3,290,298,196 = 3,290,298,196/x
  3. Step 3: Cross multiply
    1,512,634,394x = 3,290,298,196 × 3,290,298,196
  4. Step 4: Simplify right side
    1,512,634,394x = 10,826,062,218,600,853,504
  5. Step 5: Solve for x
    x = 10,826,062,218,600,853,504/1,512,634,394
  6. Step 6: Final answer
    x = 7,157,091,139.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.